cheddar potato soup with corned beef

Ingredients

• 1/4 cup butter
• 2 small leeks (trimmed, slit lengthwise, washed and chopped) sometimes i leave this out if i don't have them
• 1 large yellow onion chopped
• 1 - carrot peeled and chopped very fine.
• 1 clove garlic minced
• 1/2 cup all purpose flour
• 6 cups chicken broth
• 3 pounds baking potatoes, peeled and cut into cubes
• 1 pound sharp cheddar cheese
• 1/3 teaspoon salt (i omit typically if i use salted butter but salt to taste)
• 1/4 teaspoon freshly ground pepper
• 1 cup heavy cream
• 1/4 pound corned beef chopped to your liking
• - chives or scallions chopped